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m∠NPQ=2×m∠NRQ

or m∠NRQ=1/2×m∠NPQ

=1/2×90

= 45

m∠NRQ=45

Answer: A

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

[tex]\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}[/tex]

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

[tex]C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)[/tex]

[tex]C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)[/tex]

At C'(x) = 0

[tex]\dfrac{12500}{x^2} = 20[/tex]

[tex]\dfrac{12500}{20} = x^2[/tex]

[tex]x^2= 625[/tex]

[tex]x = \sqrt{625}[/tex]

x = 25

[tex]C'' (x) = -12500 \times \dfrac{-2}{x^3} +0[/tex]

[tex]C'' (x) = \dfrac{25000}{x^3}[/tex]

where; x = 25

[tex]C'' (x) = \dfrac{25000}{25^3}[/tex]

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

Step-by-step explanation:

Since the two triangles are similar

Then the ratio of sides are equal

Then MK:ML =JH:JI

Sub in this and you will get x =64.1

Answer:

mixed number <3

Step-by-step explanation:

vause it is

Answer:

21

Step-by-step explanation:

4x-2=3x+19

4x-3x=19+2

x=21

Answer:

x = 21

Step-by-step explanation:

These are opposite angles and are therefore equal.

Equate the two angles to solve for x.

4x-2 = 3x+19

subtract 3x-2 from either side (i.e. numbers on the left, and variables on the right)

4x-2 -(3x-2) = 3x+19 - (3x-2)

x = 21

check: 4x-2= 82, 3x+19=82, so solution is good.

Answer:

The value of h(g(3)) is 17.

Step-by-step explanation:

We are given these following functions:

[tex]g(x) = x^2 - 5[/tex]

[tex]h(x) = 7x - 11[/tex]

h(g(3)) ?

[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]

At x = 3

[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].

The value of h(g(3)) is 17.

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

Answer:

2

Step-by-step explanation:

9m + 25m + 22 = 90

34m = 90 - 22

34m = 68

m = 68 / 34

m = 2

Answer:

m = 2

Step-by-step explanation:

GLI forms a 90 degree angle

Set your formula up as

90 = 9m + 25m + 22

90 - 22 = 34m

68 = 34m

68/34 = m

2 = m

Answer:

b.    x = ±2

Step-by-step explanation:

3x² = 12

Divide both sides by 3

x² = 4

Taske the square root of both sides

x = ±2

Answer:

The slope of function A is greater than the slope of function B

hope it is helpful to you

Answer:

115736.83

Step-by-step explanation:

Effective rate:

.07/12= .005833333333

[tex]770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83[/tex]

Step-by-step explanation:

Answer:

115736.83

Step-by-step explanation:

Effective rate:

.07/12= .005833333333

770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83770(

.005833333333

1−(1+.005833333)

−30∗12

)=115736.83

Answer:

8/24

Step-by-step explanation:

Answer:

Mixed fraction: 8 1/2

Step-by-step explanation:

34/4

Divide 34/4 = 8.5

.5 = 1/2

Mixed number form: 8 1/2

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

Answer:

45 is 55% of 82 and 520% of 5 is 26.

Step-by-step explanation:

First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.

9514 1404 393

Answer:

  60 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

The base of this parallelogram is 15 units, and its height is 4 units. The area is ...

  A = (15 u)(4 u) = 60 u²

The area is 60 square units.

Answer:

Step-by-step explanation:

m^2-40+6m

=m^2+6m-40

=m^2-(10-4)m-40

=m^2-10m+4m-40

=m(m-10)+4(m-10)

=(m+4)(m-10)

Answer:

$24.20

amount invested = $356

Interest = $44

Step-by-step explanation:

Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places

Simples interest = amount invested x time x interest rate

400 x 0.065 x 1 = $24.20

b. interest = amount received - amount invested

Amount invested = amount received / (1 + r)^n

r = interest rate

n = number of years

400 / (1.06)^2 = 356

Interest = 400 - 356 = $44

Step-by-step explanation:

everything can be found in the picture

Answer:

x = 102

Step-by-step explanation:

The angles form a straight line

Angles that form a straight line add up to equal 180

Hence, x + 78 = 180

Subtract both sides by 78

180 - 78 = 102

78 - 78 cancels out

Were left with x = 102

Answer:

42.9 cm^3

Step-by-step explanation:

Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3

Radius of a ball = 1.5 cm

Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3

Volume of the balls = 14,137167 x 12 = 169,646003 cm^3

Final answer = 212.5 - 169,646003 = 42.9 cm^3

9514 1404 393

Answer:

  $4,742

Step-by-step explanation:

The total of donations is the product of the number of donations and the amount of each.

  (2371 customers) × ($2/customer) = $(2371×2) = $4742

Value-mart raised $4,742 for the food bank last week.

_____

You could find the total donated by adding the 2371 donations. Multiplication was invented to make repeated addition easier. When the sum consists of 2371 instances of $2, we can find the total by multiplying $2 × 2371.

Answer:

?

Step-by-step explanation:

?

Answer:

The angle is in the third quadrant

Answer:

The answer is C!!!!!!!!

Answer:

..........................................................................................................................................................................

Answer:

um..BG should also be equal to 12 I guess

Answer:

$75

Step-by-step explanation:

$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]

[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]

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9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Subtracting 7 from both sides gives you ...

  |x| < -3

The absolute value cannot be negative. There is no solution.

Answer:

y + 3 = (1/2)(x + 2)

Step-by-step explanation:

The slope of the original path is -2.  Any new path perpendicular to this one will have a slope which is the negative reciprocal of -2, which here is 1/2.

Use the point-slope formula y - k = m(x - h):

y - (-3) = (1/2)(x - (-2)), or

y + 3 = (1/2)(x + 2)  represents the new path.

Answer:

They will never intersect. I'm pretty sure that is right